8404 Decimal in Binary

Let's convert the decimal number 8404 to binary without using a calculator:

Start by dividing 8404 by 2:

8404 ÷ 2 = 4202 (Quotient) with a remainder of 0

Now, divide the quotient (4202) by 2:

4202 ÷ 2 = 2101 (Quotient) with a remainder of 0

Now, divide the quotient (2101) by 2:

2101 ÷ 2 = 1050 (Quotient) with a remainder of 1

Now, divide the quotient (1050) by 2:

1050 ÷ 2 = 525 (Quotient) with a remainder of 0

Now, divide the quotient (525) by 2:

525 ÷ 2 = 262 (Quotient) with a remainder of 1

Now, divide the quotient (262) by 2:

262 ÷ 2 = 131 (Quotient) with a remainder of 0

Now, divide the quotient (131) by 2:

131 ÷ 2 = 65 (Quotient) with a remainder of 1

Now, divide the quotient (65) by 2:

65 ÷ 2 = 32 (Quotient) with a remainder of 1

Now, divide the quotient (32) by 2:

32 ÷ 2 = 16 (Quotient) with a remainder of 0

Now, divide the quotient (16) by 2:

16 ÷ 2 = 8 (Quotient) with a remainder of 0

Now, divide the quotient (8) by 2:

8 ÷ 2 = 4 (Quotient) with a remainder of 0

Now, divide the quotient (4) by 2:

4 ÷ 2 = 2 (Quotient) with a remainder of 0

Now, divide the quotient (2) by 2:

2 ÷ 2 = 1 (Quotient) with a remainder of 0

The Quotient is less than 2 (1), so we will transfer it to the beginning of the number as a reminder.

Now, write down the remainders obtained in reverse order:

10000011010100